Thread: A Cantor set

Is this set {0,1,1/2,1/3,...} a Cantor set in [0,1] with the discrete topology?

What do you mean by "a" Cantor set?

By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.

Originally Posted by Veve

By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.

If a set $\displaystyle X$ is a perfect set then if $\displaystyle x \in X$, $\displaystyle x$ is a limit point of $\displaystyle X$.